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Finding the Fourth Proportional to 22,427, 30,949.26 and 12,491

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Solution

The fourth proportional to 22,427, 30,949.26 and 12,491 is: 17,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427 : 30,949.26 = 12,491 : x
  2. Step 2: Convert to fraction form
    22,427/30,949.26 = 12,491/x
  3. Step 3: Cross multiply
    22,427x = 30,949.26 × 12,491
  4. Step 4: Simplify right side
    22,427x = 386,587,206.66
  5. Step 5: Solve for x
    x = 386,587,206.66/22,427
  6. Step 6: Final answer
    x = 17,237.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.